{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "LSTM.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "hlxDFRpUfU2e"
      },
      "outputs": [],
      "source": [
        "# import\n",
        "\n",
        "import sys\n",
        "import os\n",
        "import torch\n",
        "import numpy as np\n",
        "from tqdm import tqdm\n",
        "import torch.nn as nn\n",
        "import pandas as pd\n",
        "import torch.nn.functional as F\n",
        "from torch.autograd import Variable\n",
        "import torch.utils.data as Data\n",
        "import matplotlib.pyplot as plt\n",
        "from torch.optim import Adam, SGD\n",
        "from sklearn.metrics import confusion_matrix\n",
        "from keras.layers import Dense, Conv1D, MaxPool1D, Flatten, Dropout\n",
        "from keras.layers import Input, LSTM, RepeatVector, TimeDistributed\n",
        "from keras.models import Model\n",
        "from tensorflow import keras\n",
        "from tensorflow.keras import layers\n",
        "from keras.layers import BatchNormalization\n",
        "import keras\n",
        "from matplotlib.pyplot import figure\n",
        "from keras.callbacks import EarlyStopping, ModelCheckpoint\n",
        "import scipy.io as sio\n",
        "\n",
        "from tensorflow.keras import Sequential\n",
        "from tensorflow.keras.utils import plot_model\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# mount to google drive\n",
        "\n",
        "from google.colab import drive\n",
        "drive.mount('/gdrive', force_remount=True)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_1NxJ-46fl3H",
        "outputId": "4b1ca7c7-4eda-4c02-e4eb-0b56a0ea00c0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /gdrive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data_path = '/gdrive/My Drive/Mat Files/'\n",
        "print('Available data', os.listdir(data_path))\n",
        "print('Number of files', len(os.listdir(data_path)))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tBvVBo9jkTDE",
        "outputId": "55401732-703a-49a7-a297-6d904e52ff04"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Available data ['part_1.mat', 'part_10.mat', 'part_11.mat', 'part_12.mat', 'part_2.mat', 'part_3.mat', 'part_4.mat', 'part_5.mat', 'part_6.mat', 'part_7.mat', 'part_8.mat', 'part_9.mat']\n",
            "Number of files 12\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "mat1 = sio.loadmat('/gdrive/My Drive/Mat Files/part_1.mat')['p'][0]\n",
        "mat2 = sio.loadmat('/gdrive/My Drive/Mat Files/part_2.mat')['p'][0]\n",
        "mat3 = sio.loadmat('/gdrive/My Drive/Mat Files/part_3.mat')['p'][0]\n",
        "mat4 = sio.loadmat('/gdrive/My Drive/Mat Files/part_4.mat')['p'][0]\n",
        "mat5 = sio.loadmat('/gdrive/My Drive/Mat Files/part_5.mat')['p'][0]\n",
        "mat6 = sio.loadmat('/gdrive/My Drive/Mat Files/part_6.mat')['p'][0]\n",
        "mat7 = sio.loadmat('/gdrive/My Drive/Mat Files/part_7.mat')['p'][0]\n",
        "mat8 = sio.loadmat('/gdrive/My Drive/Mat Files/part_8.mat')['p'][0]\n",
        "mat9 = sio.loadmat('/gdrive/My Drive/Mat Files/part_9.mat')['p'][0]\n",
        "mat10 = sio.loadmat('/gdrive/My Drive/Mat Files/part_10.mat')['p'][0]\n",
        "mat11 = sio.loadmat('/gdrive/My Drive/Mat Files/part_11.mat')['p'][0]\n",
        "mat12 = sio.loadmat('/gdrive/My Drive/Mat Files/part_12.mat')['p'][0]"
      ],
      "metadata": {
        "id": "5QyHZIvkh8MY"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data = np.concatenate((mat1, mat2, mat3, mat4, mat5, mat6, mat7, mat8, mat9, mat10, mat11, mat12))"
      ],
      "metadata": {
        "id": "Ui3QMf6Jl_4y"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "del mat1\n",
        "del mat2\n",
        "del mat3\n",
        "del mat4\n",
        "del mat5\n",
        "del mat6\n",
        "del mat7\n",
        "del mat8\n",
        "del mat9\n",
        "del mat10\n",
        "del mat11\n",
        "del mat12"
      ],
      "metadata": {
        "id": "F0kXtuktmYkS"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(f\"Total Samples: {len(data)}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "u8JMImRTiPfq",
        "outputId": "186be9d1-6c87-49fb-f9c7-7f3a53464833"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Total Samples: 12000\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplot(1, 3, 1)\n",
        "plt.plot(data[10][0])\n",
        "plt.title('PPG Signal')\n",
        "\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.plot(data[10][1])\n",
        "plt.title('ABP Signal')\n",
        "\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.plot(data[10][2])\n",
        "plt.title('ECG Signal')\n",
        "\n",
        "plt.subplots_adjust(right=4)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 220
        },
        "id": "V7Cv_G33kL7z",
        "outputId": "301c34f3-72e2-4442-825f-4a90823dd5f7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ppg = []\n",
        "abp = []\n",
        "ecg = []\n",
        "\n",
        "for sample in data:\n",
        "  ppg.append(sample[0][:1000])\n",
        "  abp.append(sample[1][:1000])\n",
        "  ecg.append(sample[2][:1000])\n",
        "\n",
        "pd.DataFrame(ppg).to_csv('/gdrive/My Drive/ppg.csv', index_label=False)\n",
        "pd.DataFrame(abp).to_csv('/gdrive/My Drive/abp.csv', index_label=False)\n",
        "pd.DataFrame(ecg).to_csv('/gdrive/My Drive/ecg.csv', index_label=False)"
      ],
      "metadata": {
        "id": "2Gzf8FDk-4tG"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "ppg = pd.read_csv('/gdrive/My Drive/CSV_Folder/ppg.csv')\n",
        "abp = pd.read_csv('/gdrive/My Drive/CSV_Folder/abp.csv')\n",
        "ecg = pd.read_csv('/gdrive/My Drive/CSV_Folder/ecg.csv')"
      ],
      "metadata": {
        "id": "yRASHHSXDiTH"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "abp = np.divide(np.subtract(abp, 50), 150)"
      ],
      "metadata": {
        "id": "lFqvdCuvnPOi"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data = np.stack((ppg, ecg), axis=-1)\n",
        "X_train = data[:9600]\n",
        "X_val = data[9600:10800]\n",
        "X_test = data[10800:]\n",
        "\n",
        "y_train = abp[:9600]\n",
        "y_val = abp[9600:10800]\n",
        "y_test = abp[10800:]"
      ],
      "metadata": {
        "id": "CUPucMpiEMo4"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "# dense = Dense(128)(inputs)\n",
        "encoder = LSTM(128, return_sequences=False)(inputs)\n",
        "encoding_repeat = RepeatVector(1000)(encoder)\n",
        "decoder = LSTM(128, return_sequences=True)(encoding_repeat)\n",
        "sequence_prediction = TimeDistributed(Dense(1, activation='linear'))(decoder)\n",
        "model = Model(inputs, sequence_prediction)\n",
        "model.compile('adam', 'mse')\n",
        "model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bUvuRHTKxel9",
        "outputId": "0f339636-d1c2-43d5-a8f9-7d77e43c5253"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 52s 323ms/step - loss: 0.0301 - val_loss: 0.0341\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 47s 316ms/step - loss: 0.0282 - val_loss: 0.0349\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 47s 315ms/step - loss: 0.0281 - val_loss: 0.0353\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 48s 322ms/step - loss: 0.0281 - val_loss: 0.0352\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 48s 320ms/step - loss: 0.0281 - val_loss: 0.0334\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 48s 319ms/step - loss: 0.0280 - val_loss: 0.0341\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 47s 316ms/step - loss: 0.0281 - val_loss: 0.0335\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 48s 317ms/step - loss: 0.0280 - val_loss: 0.0331\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 48s 317ms/step - loss: 0.0280 - val_loss: 0.0355\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 47s 316ms/step - loss: 0.0280 - val_loss: 0.0351\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7f9416837610>"
            ]
          },
          "metadata": {},
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "6tQCZ-7IP2Oa",
        "outputId": "676ab20c-19c3-4cce-cf34-dfbcea558bc0"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 5s 120ms/step - loss: 0.0295\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f941542bb10>]"
            ]
          },
          "metadata": {},
          "execution_count": 28
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "# dense = Dense(128)(inputs) #64, 128\n",
        "encoder = LSTM(256, return_sequences=False)(inputs) #128, 256, 512\n",
        "do = Dropout(0.1)(encoder)\n",
        "bn = BatchNormalization()(do)\n",
        "dense_2 = Dense(1000)(bn)\n",
        "model = Model(inputs, dense_2)\n",
        "model.compile('adam', 'mse')\n",
        "history = model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "cTIgLVUzeScW",
        "outputId": "bd837949-54ac-45a0-8c33-bb05795e9848"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 40s 254ms/step - loss: 0.0510 - val_loss: 0.0341\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 37s 249ms/step - loss: 0.0286 - val_loss: 0.0352\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 37s 249ms/step - loss: 0.0282 - val_loss: 0.0332\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 37s 250ms/step - loss: 0.0279 - val_loss: 0.0336\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 37s 250ms/step - loss: 0.0277 - val_loss: 0.0356\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 37s 250ms/step - loss: 0.0275 - val_loss: 0.0347\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 38s 250ms/step - loss: 0.0273 - val_loss: 0.0339\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 37s 250ms/step - loss: 0.0270 - val_loss: 0.0346\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 37s 250ms/step - loss: 0.0269 - val_loss: 0.0335\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 37s 249ms/step - loss: 0.0268 - val_loss: 0.0339\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "id": "ONTuDl1EhFl7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "outputId": "ac18cb14-959f-4306-f009-aeed6a33dd4f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 3s 76ms/step - loss: 0.0292\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f94118e5d50>]"
            ]
          },
          "metadata": {},
          "execution_count": 26
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(512, return_sequences=False)(inputs) #128, 256, 512\n",
        "do = Dropout(0.1)(encoder)\n",
        "bn = BatchNormalization()(do)\n",
        "dense_2 = Dense(1000)(bn)\n",
        "model = Model(inputs, dense_2)\n",
        "model.compile('adam', 'mse')\n",
        "history = model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2vrPPA57tB8I",
        "outputId": "b8950776-76bd-4f97-c03c-3bba67b97c2b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 74s 481ms/step - loss: 0.0481 - val_loss: 0.0344\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 71s 477ms/step - loss: 0.0285 - val_loss: 0.0347\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 72s 481ms/step - loss: 0.0282 - val_loss: 0.0350\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 71s 475ms/step - loss: 0.0281 - val_loss: 0.0340\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 71s 477ms/step - loss: 0.0280 - val_loss: 0.0349\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 74s 494ms/step - loss: 0.0279 - val_loss: 0.0346\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 72s 478ms/step - loss: 0.0276 - val_loss: 0.0342\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 71s 474ms/step - loss: 0.0277 - val_loss: 0.0343\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 71s 472ms/step - loss: 0.0279 - val_loss: 0.0347\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 71s 474ms/step - loss: 0.0278 - val_loss: 0.0333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "foxEt3ZxtHJG",
        "outputId": "de197518-eee0-4319-9df0-2fbb1ef347a2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 6s 144ms/step - loss: 0.0296\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f940b2f6d50>]"
            ]
          },
          "metadata": {},
          "execution_count": 32
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model = Sequential()\n",
        "\n",
        "model.add(Input(shape=(1000, 2)))\n",
        "model.add(Dense(128))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(256))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(512))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(256))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(128))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(1, activation='linear'))\n",
        "model.compile('adam', 'huber')\n",
        "history = model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "uY7Op76xJtgH",
        "outputId": "a74ad4bc-419a-4724-f9af-f02646442308"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 32s 203ms/step - loss: 0.1447 - val_loss: 0.0169\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 30s 200ms/step - loss: 0.0689 - val_loss: 0.0172\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0470 - val_loss: 0.0167\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0321 - val_loss: 0.0166\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0232 - val_loss: 0.0167\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0183 - val_loss: 0.0166\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0159 - val_loss: 0.0169\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0147 - val_loss: 0.0167\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 30s 200ms/step - loss: 0.0142 - val_loss: 0.0167\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 30s 201ms/step - loss: 0.0140 - val_loss: 0.0167\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "X-xwrU8EOj3h",
        "outputId": "31ffecfe-a1d5-466f-a2dc-2389ee59a81f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 1s 27ms/step - loss: 0.0139\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f9417dae9d0>]"
            ]
          },
          "metadata": {},
          "execution_count": 23
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model = Sequential()\n",
        "\n",
        "model.add(Input(shape=(1000, 2)))\n",
        "model.add(Dense(128))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(256))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(512))\n",
        "model.add(Dense(1, activation='linear'))\n",
        "model.compile('adam', 'mse')\n",
        "\n",
        "model.summary()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "5azRRoy1r2X7",
        "outputId": "8f8ca445-5ada-4cfb-e46e-08e8f5b8302a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model: \"sequential_1\"\n",
            "_________________________________________________________________\n",
            " Layer (type)                Output Shape              Param #   \n",
            "=================================================================\n",
            " dense_9 (Dense)             (None, 1000, 128)         384       \n",
            "                                                                 \n",
            " dropout_6 (Dropout)         (None, 1000, 128)         0         \n",
            "                                                                 \n",
            " batch_normalization_6 (Batc  (None, 1000, 128)        512       \n",
            " hNormalization)                                                 \n",
            "                                                                 \n",
            " dense_10 (Dense)            (None, 1000, 256)         33024     \n",
            "                                                                 \n",
            " dropout_7 (Dropout)         (None, 1000, 256)         0         \n",
            "                                                                 \n",
            " batch_normalization_7 (Batc  (None, 1000, 256)        1024      \n",
            " hNormalization)                                                 \n",
            "                                                                 \n",
            " dense_11 (Dense)            (None, 1000, 512)         131584    \n",
            "                                                                 \n",
            " dense_12 (Dense)            (None, 1000, 1)           513       \n",
            "                                                                 \n",
            "=================================================================\n",
            "Total params: 167,041\n",
            "Trainable params: 166,273\n",
            "Non-trainable params: 768\n",
            "_________________________________________________________________\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model = Sequential()\n",
        "\n",
        "model.add(Input(shape=(1000, 2)))\n",
        "model.add(Dense(128))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(256))\n",
        "model.add(Dropout(0.1))\n",
        "model.add(BatchNormalization())\n",
        "model.add(Dense(512))\n",
        "model.add(Dense(1, activation='linear'))\n",
        "model.compile('adam', 'mse')\n",
        "history = model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gM2-E-4Dki4i",
        "outputId": "bd07b861-2d31-4d30-a490-a2320349f577"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 16s 89ms/step - loss: 0.3405 - val_loss: 0.0336\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 13s 85ms/step - loss: 0.0289 - val_loss: 0.0329\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 13s 85ms/step - loss: 0.0284 - val_loss: 0.0338\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 13s 86ms/step - loss: 0.0288 - val_loss: 0.0382\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 13s 86ms/step - loss: 0.0289 - val_loss: 0.0318\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 13s 86ms/step - loss: 0.0292 - val_loss: 0.0350\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 13s 87ms/step - loss: 0.0296 - val_loss: 0.0332\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 13s 86ms/step - loss: 0.0293 - val_loss: 0.0356\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 13s 87ms/step - loss: 0.0288 - val_loss: 0.0342\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 13s 86ms/step - loss: 0.0292 - val_loss: 0.0351\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "yfZIhApckvyn",
        "outputId": "0e9753f4-8b3c-4bbf-b869-aef9a6340c36"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 1s 19ms/step - loss: 0.0299\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f32022c1050>]"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(256, return_sequences=False)(inputs)\n",
        "do = Dropout(0.1)(encoder)\n",
        "bn = BatchNormalization()(do)\n",
        "dense = Dense(1000)(bn)\n",
        "model = Model(inputs, dense)\n",
        "model.compile('adam', 'mse')\n",
        "model.fit(X_train, y_train, epochs=20, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "id": "m9bdnqrZkXQo"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "id": "5FBEUbiJkZPB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(128, return_sequences=True)(inputs)\n",
        "sequence_prediction = TimeDistributed(Dense(1, activation='linear'))(encoder)\n",
        "model = Model(inputs, sequence_prediction)\n",
        "\n",
        "plot_model(model)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 272
        },
        "id": "6B9j_ZcXjgZs",
        "outputId": "ff10a602-e1dd-40ec-8170-090c2dc228cf"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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99tvxwgsvwGQy2ZbTNA29evWCxWKBl5dXhXGDwQCz2YygoCB069at0ja6deuG7OxsrF27tsoaVq9ejZYtWzr+zhE5AUOSbgrvvPMOcnJyXL7djRs3VvqR5KZNmwIACgsLXV5PTc6dO4e8vDycP3++wri3tzc2bNhg+3vVqlUwm801rm/s2LF48MEHK4xNmDABAPDGG29UeZtXXnkFU6ZMqW3pRLpgSFKD8c033+Dee++F2WyGv78/OnXqhPz8fEyePBlTpkzB8ePHoWkaIiIisHTpUvj6+sLDwwPdunVDcHAwDAYDfH190bVrV/Tu3RuhoaEwGo1o3Lgxpk+f7rA6f/vtN5hMJrRr185h63SU7t27o6CgAP3798d3333nlG30798f7du3x+bNm3H48OEK13333XcoLCzEX//6V6dsm8jRGJLUIBQUFGDw4MGIjY3F+fPncfToUdx+++0oKirC0qVL8dBDDyE8PBwigmPHjmHy5MmYNm0aRARvvPEGfvnlF2RnZ6NPnz7Ys2cPZsyYgT179uD8+fN4/PHHsWjRIuzbt6/edRYWFmLTpk0YM2YMvL29HXDPHWv69Om45557sG/fPkRHR6Njx45YuHBhpSPL+ho3bhwAVPrg1ZIlS/DMM884dFtEzsSQpAYhMzMT+fn56NixI4xGI4KDg7F69WrbS5vV6dChA8xmM5o0aYJhw4YBAFq3bo2mTZvCbDbbPhGakZFR7zpfeuklNG/evMInRd2JyWTC9u3b8e9//xuRkZE4ePAgkpKS0L59e3zzzTcO287jjz8OX19fvP/++7h8+TIA4MSJE9i1axceffRRh22HyNkYktQghIWFoVmzZhgxYgTmzJmDzMzMOq2n/OiupKTENmYwGABA+WlMe61Zswapqan44osv4OfnV691OZPBYMCkSZNw6NAh7Ny5E4888ghycnIQFxeH3Nxch2zDYrHg0UcfRW5uLlJSUgAAycnJmDBhglseYROpMCSpQTCZTNi0aROio6Mxb948hIWFITEx0XaUoreUlBTMnz8fW7ZsQdu2bfUux2733Xcf/vOf/2D8+PE4c+YMNm/e7LB1l3+A580338SFCxeQlpZmexmWqKFgSFKD0bFjR2zYsAFZWVlISkqC1WrF4sWL9S4Ly5Ytw8qVK7Fp0ya0aNFC73Iq2Lp1K5KTk21/x8TEVDiKLvfYY48BcOwncu+66y706NEDP/zwA8aOHYu4uDgEBAQ4bP1ErsCQpAYhKysLBw8eBAAEBQXh5ZdfRteuXW1jehARJCUl4cCBA1i7di0aNWqkWy0qP/74I3x9fW1/X716tcqelX8KtXPnzg7dfvnRZHp6Op5++mmHrpvIFRiS1CBkZWVh3LhxyMjIQFFREfbs2YOTJ0+iR48eAIDAwEBkZWUhMzMTFy9erPf7i/Y4ePAgFi5ciLfeegsGg6HS17XpeZRbXFyMP/74A1u2bKkQkgAwZMgQpKam4sKFC8jLy8O6devw7LPP4uGHH3Z4SMbHx6Np06YYMmQIwsLCHLpuIpcQIieLjY2V2NhYu5dfsmSJBAcHCwDx9fWVoUOHSmZmpkRFRUlAQIB4enpKixYtZNasWVJSUiIiIrt375Y2bdqIyWSS6OhomTFjhpjNZgEgbdu2lW3btsn8+fPFYrEIAAkODpaPPvpIUlJSbNsKCAiQVatW2V3ngQMHBIDysmjRolr3CoBYrVa7ll2zZo2Eh4dXWwMAWbNmje02X375pSQkJEh4eLj4+PiIt7e33HHHHTJnzhy5cuVKpW3k5+dLnz59JDAwUACIh4eHREREyLx585S1NG3aVCZOnGi7bvr06bJ9+3bb37Nnz5aQkBDb+jp06CDbtm2rVZ+sVqvw6YtcQRMRcV0k062o/HtM09LSdK7E/WmaBqvVivj4eL1LcWupqalISEgAn77I2fhyKxERkQJDkug6GRkZdv08VGJiot6lEpELeNW8CNGtIzIyki/hEZENjySJiIgUGJJEREQKDEkiIiIFhiQREZECQ5KIiEiBIUlERKTAkCQiIlJgSBIRESkwJImIiBQYkkRERAoMSSIiIgWGJBERkQJDkoiISIEhSUREpMCfyiKXOH36NFJTU/Uuo0HYsWOH3iW4PfaIXEUT/ngeOVlcXBzS09P1LoNuQnz6ImdjSBK5EU3TYLVaER8fr3cpRAS+J0lERKTEkCQiIlJgSBIRESkwJImIiBQYkkRERAoMSSIiIgWGJBERkQJDkoiISIEhSUREpMCQJCIiUmBIEhERKTAkiYiIFBiSRERECgxJIiIiBYYkERGRAkOSiIhIgSFJRESkwJAkIiJSYEgSEREpMCSJiIgUGJJEREQKDEkiIiIFhiQREZECQ5KIiEiBIUlERKTAkCQiIlJgSBIRESkwJImIiBQYkkRERAoMSSIiIgWGJBERkQJDkoiISIEhSUREpOCldwFEt6oVK1YgNze30vi6devwyy+/VBgbNWoUgoODXVUaEf1/moiI3kUQ3YrGjh2LFStWwMfHxzYmItA0zfZ3SUkJLBYLsrOzYTAY9CiT6JbGl1uJdDJs2DAAwNWrV22XoqKiCn97eHhg2LBhDEginfBIkkgnZWVlaN68OXJycqpd7ttvv0WvXr1cVBURXY9HkkQ68fDwwIgRI+Dt7a1cpnnz5oiKinJhVUR0PYYkkY6GDRuGoqKiKq8zGAwYOXJkhfcoici1+HIrkc7CwsIqfZq13N69e9GlSxcXV0RE5XgkSaSzkSNHVvnBnLCwMAYkkc4YkkQ6GzFiBIqLiyuMGQwGjB49WqeKiKgcX24lcgOdO3fGTz/9hOun45EjR3DbbbfpWBUR8UiSyA2MHDkSnp6eAABN03D33XczIIncAEOSyA08+uijKC0tBQB4enri8ccf17kiIgIYkkRuoUWLFoiKioKmaSgrK0NcXJzeJRERGJJEbuOxxx6DiKBPnz5o0aKF3uUQEQDIDaxWqwDghRdeeOGFl1vqEhsbe2MkivKnsqxWq+oqInKSJUuWYOzYsWjUqFG91pOQkIDJkyejZ8+eDqqM6OaWnJxc5bgyJOPj451WDBFVLSoqCq1atar3ehISEtCzZ0/OYyI7paWlVTnO9ySJ3IgjApKIHIchSUREpMCQJCIiUmBIEhERKTAkiYiIFBiSRERECgxJIiIiBYYkERGRAkOSiIhIgSFJRESkwJAkIiJSYEgSEREpMCSJiIgUGJJEREQKTgvJTz/9FBaLBRs2bHDWJhziiSeegJ+fHzRNw969e23jzqz/xnV3794dnp6euOuuuxy+rfpQ9aa2ysrKkJycjKioqBqX/eqrrzBjxgyn1uMOquvJ+vXrsWDBApSWlrqklsTERGiaZtdl48aNLp3bq1evRlhYWKU6vL290axZM/Tt2xeLFi1Cbm5updtyDts3Z8rnXH16rTdnzhmnhaSIOGvVDvX222/jrbfeqjTuzPpvXPeuXbvQr18/p22vrlS9qY2jR4+iT58+eOaZZ1BYWFjtss8//zxeffVVzJw502n1uIOaejJ48GAYjUYMGDAAFy5ccElNX375JS5cuIDi4mL8/vvvtjqKiopQUFCAnJwcjBkzBoBr53ZMTAxOnDiB8PBwWCwWiAjKysqQk5OD1NRUtGvXDklJSejYsSP++9//Vrgt53DNc+b6OVefXuvNmXNG+aPLtXH58mUMGDAA27dvt40NGjQIeXl5jli9Lmpbf1U9qO26NU2rVY2OqsdZ9u3bh7lz52L8+PEoKCio9klr/vz5SElJwb59+2A0Gl1YpWvZ25OnnnoKJ06cwAMPPICtW7fCy8shU7VKmqahV69eMJvNlcYNBgMMBgPMZjO6desGQP+5rWkaGjdujL59+6Jv374YNGgQEhISMGjQIBw5cgQWi6VOdd5qc9ieOWdvr92Bs+aMQ44k33nnHeTk5DhiVbpwxI7tiB4YDIZ611HOUY9JfXrTpUsXrF69GsOHD4ePj49yuWPHjuG5557Dv/71rxoD0pFPQnqwtycAMGfOHOzduxdLly51ak2rVq2qFJBVGTt2LB588EGn1lIXsbGxGDVqFHJycvDmm2/WeT230hyuzZy7nqN67SxOmTNyA6vVKlUMKz311FPi7e0tAASAhIeHy7Zt2yQ0NFQAyLJly0REJDk5Wcxms2iaJl27dpVmzZqJl5eXmM1mufvuuyU6OlpatWolPj4+YrFYZNq0aRW2U1JSIs8995yEhoaK0WiUTp06SUpKit11lisrK5OFCxfK7bffLt7e3uLv72+rdc+ePSIiVdYvIrJlyxbp3r27mEwm8fPzkzvvvFPy8vKq7MGCBQvEZDJJo0aN5I8//pBnnnlGWrRoIW+//XaV6x4wYIAEBATIHXfcIWazWYxGo0RHR8u2bdtsyzz55JNiMBgkODjYNjZhwgQxm80CQM6cOaN8TOzpoT29qav77rtPunTpUuV1Tz75pHh6ekpBQUGFcXvrqe5+vf7662I2m8VkMsnatWtl4MCB4ufnJy1btpSPP/64wvZUj689vXN0T8oNHDhQWrZsKWVlZbVaNwCxWq11quv3338XAPLwww9Xuk6vuR0eHi4Wi0VZ89atWwWA/OlPf1LWKcI5fH0dVc25uvS6prpcPQfrOmdiY2MlNja20ni9Q1JEJCYmxvYgljt16lSlnej5558XAPL9999LQUGBnD17VgYOHCgA5JNPPpEzZ85IQUGBTJo0SQDI3r17bbedOnWq+Pj4SHp6uuTm5srMmTPFw8NDdu3aVataZ82aJZqmyZIlSyQ3N1cKCwvl9ddfr7QT3Vj/pUuXxN/fXxYsWCCXL1+W7OxsGTp0qG2nrqoHs2bNEgDy1FNPybJly2To0KFy6NChKnszYMAACQsLk19++UWKi4vlp59+kvvuu0+MRqMcOXLEttzw4cMrTDARkUWLFlWYYKp6auqhvb2pi+oCISwsTDp06FBp3N567LlfAOTrr7+WvLw8ycnJkd69e4uvr68UFRWJSM2Pr6P2P3t7Um7GjBl16r+zQlJEn7ld0xN3fn6+AJDQ0FBlnZzD/9uHVHOurr12pzlY1znjViF58eJF29j7778vAOTAgQO2sR9++EEA2P5LuHz5spjNZklMTLQtU1hYKD4+PjJhwgS76ywsLBSz2Sx/+ctfKoyvWrWqxpD86aefBIBs3LjR7h6U7xiXL1+uMK6aYDc+Ye7fv18AyNSpU21jdZ1gNfWwNr2pC1UgXLp0STRNk4ceeqjCuL312LNvVPU4lD9xHDt2TESqf3wdtf/dyJ6QfPfddwWAfPDBB7Vat14h6ay5XdMTt4iIpmnSuHFjZZ2cw9fmjGrOlattr91tDtZ1zqhCUvfzJL29vQEAJSUltrHy1/WLi4sBAIcPH0ZhYSHuvPNO2zImkwkhISHIyMiwe1vHjh1DYWEhBgwYUOs6w8LC0KxZM4wYMQJz5sxBZmZmrddRW506dYLFYsH+/fvrva6aelif3tRHTk4ORKTSe2L21lPXfaN8vyvfx6p7fB21/9VFeV/++OMPp27HGVw5t8s/BOXv769chnP4GtWcs9eNvXa3OejoOaN7SNqjoKAAADB79uwK5++cPHmyxtMKrnf69GkAQFBQUK1rMJlM2LRpE6KjozFv3jyEhYUhMTERly9frvW6asNgMNh2ovqoqYf16U19XLlyBQAqfYjF3noctW9U9/g6aht1YTKZAPyvTzcbR/X2yJEjAIDIyEjlMpzD16jmnL1u7LW7zUFHz5kGEZLlD3pycjLk2kvEtsuOHTvsXk/5p7iuXr1apzo6duyIDRs2ICsrC0lJSbBarVi8eHGd1mWPkpISnD9/Hq1bt673umrqYX17U1flO/SNJwHbW4+j9g1A/fg6chu1VVRUBOB/fbrZOKq3n3/+OQDg/vvvr3Y5zmH1nLPXjb12tzno6DnTIEIyNDQURqOx3t+ycuedd8LDwwPffPNNrW+blZWFgwcPAri2U7z88svo2rWrbcwZNqaYyFAAAATHSURBVG/ejLKyMnTt2tU25uXlVaf/SmvqYX16Ux/NmjWDpmmVzjmztx5H7RvVPb6O2kZdlPclODjY5dt2BUf0Njs7G8nJyWjVqhX+/ve/K5fjHL5GNefsUVWv3W0OOnrOOCQkAwMDkZWVhczMTFy8eNEhLy1cz2g0YvTo0Vi1ahWWL1+O/Px8lJaW4vTp07ZvB7FHUFAQYmJikJ6ejnfeeQf5+fnYv38/VqxYUeNts7KyMG7cOGRkZKCoqAh79uzByZMn0aNHDwCO6UFRURHy8vJQUlKC3bt3Y9KkSWjTpg1GjRplWyYiIgLnz5/H2rVrUVxcjDNnzuDkyZOV1nVjPZ6entX2sD69qQ+z2YywsDDbS0Xl7K3HUftGdY+vo7ZRF+V96dSpk1O3o5fa9FZEcOnSJZSVlUFEcObMGVitVvTq1Quenp5Yu3Ztte9Jcg5fo5pz16tNr91tDjp8ztz4SZ66fLp19+7d0qZNGzGZTBIdHS2zZ8+WkJAQASBms1kGDx4sS5cutZ0L1LZtW9m2bZvMnz9fLBaLAJDg4GD56KOPJCUlRYKDgwWABAQEyKpVq0RE5OrVq5KUlCStW7cWLy8vCQoKkpiYGPn5559rVevFixfliSeekCZNmkijRo0kOjpa/vnPfwoAadWqlezbt0+WLVtWqf7MzEyJioqSgIAA8fT0lBYtWsisWbOkpKSkyh4888wzYjKZbB+V/vDDD0VEqly3iMh7770n/fr1s51j1qRJExk2bJicPHmyQv3nzp2Tfv36idFolHbt2smTTz4p06ZNEwASEREhv/76a5X1ZGdn19hDe3pTGzt27JBevXpJ8+bNbed7hYSESFRUlHzzzTe25SZNmiQGg0EKCwtr/ViJVL9vlJ+jBUBuu+02OX78uKxYsUL8/f0FgLRp00aOHDlS4+PrqP3P3p6UGzRokMvOk8zPz5c+ffpIYGCgABAPDw+JiIiQefPm2Zapav915txev369dO7cWcxms3h7e4uHh4cAsH268t5775W5c+fKuXPnKtwXzuHq50xVc66uva7pMXT1HKzrnHHqKSBE9XH06FHx8vKyPQnRNWfPnhWj0SiLFy+u9W3rEpJ067hZ51x95ozbngJCFBERgblz52Lu3Lm4dOmS3uW4jTlz5uCuu+7CpEmT9C6FbjI365xzxpxp8CGZkZFh10/8JCYm6l1qg+fMXs+YMQNxcXFITExsUF+M76yevPLKK9i7dy8+/fRTh34fKFG5hjrnVJw1Z5z30wIuEhkZ2WB+lquhc3av582bhy+//BIvv/wy5s+f77TtOJIzerJu3TpcvXoVW7Zsgaenp0PXTXS9hjjnquLMOaPJDTM8NTUVCQkJDB6iBkzTNFitVsTHx+tdClGDEBcXBwBIS0urMN7gX24lIiJyFoYkERGRAkOSiIhIgSFJRESkwJAkIiJSYEgSEREpMCSJiIgUGJJEREQKDEkiIiIFhiQREZECQ5KIiEiBIUlERKTAkCQiIlJQ/lSWpmmurIOIHCwhIQEJCQl6l0HUYMTGxlYaq/RTWadPn8b27dtdVhQREZE7CA0NRc+ePSuMVQpJIiIiuobvSRIRESkwJImIiBQYkkRERApeANL0LoKIiMgd/T/xGJprEO0hegAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(128, return_sequences=True)(inputs)\n",
        "sequence_prediction = TimeDistributed(Dense(1, activation='linear'))(encoder)\n",
        "model = Model(inputs, sequence_prediction)\n",
        "model.compile('adam', 'mse')\n",
        "model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yz19eCd1iM2G",
        "outputId": "ccb775ba-ce46-4e5a-d03c-df7c54c8a5d9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 31s 167ms/step - loss: 0.0319 - val_loss: 0.0363\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 24s 162ms/step - loss: 0.0262 - val_loss: 0.0329\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 24s 162ms/step - loss: 0.0249 - val_loss: 0.0300\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 24s 162ms/step - loss: 0.0237 - val_loss: 0.0285\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 24s 162ms/step - loss: 0.0231 - val_loss: 0.0278\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 24s 160ms/step - loss: 0.0213 - val_loss: 0.0261\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 24s 160ms/step - loss: 0.0196 - val_loss: 0.0233\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 24s 161ms/step - loss: 0.0183 - val_loss: 0.0217\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 24s 162ms/step - loss: 0.0162 - val_loss: 0.0199\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 24s 161ms/step - loss: 0.0153 - val_loss: 0.0189\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7faf00871cd0>"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "1YuaouXri21d",
        "outputId": "f388a0ec-6205-4010-d3d9-e6b5640cd517"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 3s 70ms/step - loss: 0.0182\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7faf00284910>]"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(256, return_sequences=True)(inputs)\n",
        "sequence_prediction = TimeDistributed(Dense(1, activation='linear'))(encoder)\n",
        "model = Model(inputs, sequence_prediction)\n",
        "model.compile('adam', 'mse')\n",
        "model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "id": "ievfhqwekAUx",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d756c581-696e-43b6-b65e-8392c336d58c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 43s 263ms/step - loss: 0.0297 - val_loss: 0.0314\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 38s 256ms/step - loss: 0.0253 - val_loss: 0.0366\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0241 - val_loss: 0.0314\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0204 - val_loss: 0.0225\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 39s 263ms/step - loss: 0.0164 - val_loss: 0.0191\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0157 - val_loss: 0.0209\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0154 - val_loss: 0.0227\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 38s 255ms/step - loss: 0.0150 - val_loss: 0.0209\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0149 - val_loss: 0.0204\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 38s 254ms/step - loss: 0.0146 - val_loss: 0.0196\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7fae8dc13610>"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "KjmbCu6cRdIW",
        "outputId": "30adf27e-1c4f-484f-e72e-95a443957970"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 3s 80ms/step - loss: 0.0169\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fae65ce4710>]"
            ]
          },
          "metadata": {},
          "execution_count": 9
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "inputs = Input(shape=(1000, 2))\n",
        "encoder = LSTM(512, return_sequences=True)(inputs)\n",
        "sequence_prediction = TimeDistributed(Dense(1, activation='linear'))(encoder)\n",
        "model = Model(inputs, sequence_prediction)\n",
        "model.compile('adam', 'mse')\n",
        "model.fit(X_train, y_train, epochs=10, batch_size=64, validation_data=(X_val,y_val))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MlX45sFtResv",
        "outputId": "10cd982b-4f9c-451c-c2c2-d55ac1f492c6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/10\n",
            "150/150 [==============================] - 78s 507ms/step - loss: 0.0340 - val_loss: 0.0311\n",
            "Epoch 2/10\n",
            "150/150 [==============================] - 77s 516ms/step - loss: 0.0264 - val_loss: 0.0318\n",
            "Epoch 3/10\n",
            "150/150 [==============================] - 75s 502ms/step - loss: 0.0253 - val_loss: 0.0320\n",
            "Epoch 4/10\n",
            "150/150 [==============================] - 75s 502ms/step - loss: 0.0235 - val_loss: 0.0268\n",
            "Epoch 5/10\n",
            "150/150 [==============================] - 75s 503ms/step - loss: 0.0185 - val_loss: 0.0252\n",
            "Epoch 6/10\n",
            "150/150 [==============================] - 75s 501ms/step - loss: 0.0160 - val_loss: 0.0199\n",
            "Epoch 7/10\n",
            "150/150 [==============================] - 75s 502ms/step - loss: 0.0155 - val_loss: 0.0202\n",
            "Epoch 8/10\n",
            "150/150 [==============================] - 75s 503ms/step - loss: 0.0154 - val_loss: 0.0221\n",
            "Epoch 9/10\n",
            "150/150 [==============================] - 75s 502ms/step - loss: 0.0150 - val_loss: 0.0190\n",
            "Epoch 10/10\n",
            "150/150 [==============================] - 75s 501ms/step - loss: 0.0148 - val_loss: 0.0196\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7fae624a98d0>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "model.evaluate((X_test),y_test)\n",
        "prediction = model.predict(X_test)\n",
        "\n",
        "plt.plot(y_test.iloc[10])\n",
        "plt.plot(prediction[10])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 302
        },
        "id": "JGkA90vpThF2",
        "outputId": "0b1350b2-19be-4c37-8205-1cbf3582d309"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "38/38 [==============================] - 6s 144ms/step - loss: 0.0177\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fae5f026450>]"
            ]
          },
          "metadata": {},
          "execution_count": 13
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}